oj.uz

Submission #1008609

# Submission time Handle Problem Language Result Execution time Memory
1008609 2024-06-26T15:39:54 Z PagodePaiva Rectangles (IOI19_rect) C++17
72 / 100
 5000 ms 774768 KB 
#include "rect.h"
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

using namespace std;

const int N = 2510;
const int inf = 1e8;
int v[N][N];
int p1[N][N];
int p2[N][N];
int p3[N][N];
int p4[N][N];

struct Segtree{
	int tree[4*N];
	int join(int a, int b){
		return min(a, b);
	}
	void build(int node, int l, int r){
		if(l == r){
			tree[node] = inf;
			return;
		}
		int mid = (l+r)/2;
		build(2*node, l, mid);
		build(2*node+1, mid+1, r);
		tree[node] = join(tree[2*node], tree[2*node+1]);
		return;
	}	
	void update(int node, int l, int r, int pos, int val){
		if(l == r){
			tree[node] = val;
			return;
		}
		int mid = (l+r)/2;
		if(l <= pos and pos <= mid) update(2*node, l, mid, pos, val);
		else update(2*node+1, mid+1, r, pos, val);
		tree[node] = join(tree[2*node], tree[2*node+1]);
		return;
	}
	int query(int node, int l, int r, int tl, int tr){
		if(l <= tl and tr <= r) return tree[node];
		if(l > tr or tl > r) return inf;
		int mid = (tl+tr)/2;
		return join(query(2*node, l, r, tl, mid), query(2*node+1, l, r, mid+1, tr));
	}
} seg1[N], seg3[N];

struct Segtree2{
	int tree[4*N];
	int join(int a, int b){
		return max(a, b);
	}
	void build(int node, int l, int r){
		if(l == r){
			tree[node] = -1;
			return;
		}
		int mid = (l+r)/2;
		build(2*node, l, mid);
		build(2*node+1, mid+1, r);
		tree[node] = join(tree[2*node], tree[2*node+1]);
		return;
	}	
	void update(int node, int l, int r, int pos, int val){
		if(l == r){
			tree[node] = val;
			return;
		}
		int mid = (l+r)/2;
		if(l <= pos and pos <= mid) update(2*node, l, mid, pos, val);
		else update(2*node+1, mid+1, r, pos, val);
		tree[node] = join(tree[2*node], tree[2*node+1]);
		return;
	}
	int query(int node, int l, int r, int tl, int tr){
		if(l <= tl and tr <= r) return tree[node];
		if(l > tr or tl > r) return -1;
		int mid = (tl+tr)/2;
		return join(query(2*node, l, r, tl, mid), query(2*node+1, l, r, mid+1, tr));
	}
} seg2[N], seg4[N];

set <array <int, 4>> s;
int n, m;

bool check(int r1, int c1, int r2, int c2){
	if(r1 == 0 or r2 == n+1 or r2-r1 <= 1) return false;
	if(c1 == 0 or c2 == m+1 or c2-c1 <= 1) return false;
	if(r1+1 > r2-1 or c1+1 > c2-1) return false;
	if(c1 <= 0 or c1 > m or c2 <= 0 or c2 > m or r1 <= 0 or r1 > n or r2 <= 0 or r2 > n) return false;
	int x1 = seg1[c1].query(1,r1+1, r2-1, 1, n);
	if(c1+1 <= x1 and x1 <= c2-1) return false;
	x1 = seg2[c2].query(1, r1+1, r2-1, 1, n);
	if(c1 < x1 and x1 < c2) return false;
	int x2 = seg3[r1].query(1, c1+1, c2-1, 1, m);
	if(r1 < x2 and x2 < r2) return false;
	x2 = seg4[r2].query(1, c1+1, c2-1, 1, m);
	if(r1 < x2 and x2 < r2) return false;
	if(s.find({r1, c1, r2, c2}) != s.end()) return false;
	s.insert({r1, c1, r2, c2});
	return true;
}
long long count_rectangles(std::vector<std::vector<int32_t> > a) {
	n = a.size(), m = a[0].size();
	s.clear();
	for(int i = 1;i <= n;i++){
		for(int j = 1;j <= m;j++){
			v[i][j] = a[i-1][j-1];
		}
	}
	for(int i = 1;i <= n;i++){
		stack <int> s;
		for(int j = 1;j <= m;j++){
			if(s.empty()) s.push(j);
			else{
				while(!s.empty()){
					int t = s.top();
					if(v[i][j] >= v[i][t]){
						p1[i][t] = j;
						s.pop();
					}
					else{
						break;
					}
				}
				s.push(j);
			}
		}
		while(!s.empty()){
			int t = s.top();
			p1[i][t] = m+1;
			s.pop();
		}
	}
	for(int i = 1;i <= n;i++){
		stack <int> s;
		for(int j = m;j > 0;j--){
			if(s.empty()) s.push(j);
			else{
				while(!s.empty()){
					int t = s.top();
					if(v[i][j] >= v[i][t]){
						p2[i][t] = j;
						s.pop();
					}
					else{
						break;
					}
				}
				s.push(j);
			}
		}
		while(!s.empty()){
			int t = s.top();
			p2[i][t] = 0;
			s.pop();
		}
	}
	for(int j = 1;j <= m;j++){
		stack <int> s;
		for(int i = 1;i <= n;i++){
			if(s.empty()) s.push(i);
			else{
				while(!s.empty()){
					int t = s.top();
					if(v[i][j] >= v[t][j]){
						p3[t][j] = i;
						s.pop();
					}
					else{
						break;
					}
				}
				s.push(i);
			}
		}
		while(!s.empty()){
			int t = s.top();
			p3[t][j] = n+1;
			s.pop();
		}
	}
	for(int j = 1;j <= m;j++){
		stack <int> s;
		for(int i = n;i > 0;i--){
			if(s.empty()) s.push(i);
			else{
				while(!s.empty()){
					int t = s.top();
					if(v[i][j] >= v[t][j]){
						p4[t][j] = i;
						s.pop();
					}
					else{
						break;
					}
				}
				s.push(i);
			}
		}
		while(!s.empty()){
			int t = s.top();
			p4[t][j] = 0;
			s.pop();
		}
	}
	for(int i = 1;i <= m;i++){
		seg1[i].build(1, 1, n);
		seg2[i].build(1, 1, n);
	}
	for(int i = 1;i <= n;i++){
		seg3[i].build(1, 1, m);
		seg4[i].build(1, 1, m);
	}
	for(int i = 1;i <= n;i++){
		for(int j = 1;j <= m;j++){
			seg1[j].update(1, 1, n, i, p1[i][j]);
			seg2[j].update(1, 1, n, i, p2[i][j]);
			seg3[i].update(1, 1, m, j, p3[i][j]);
			seg4[i].update(1, 1, m, j, p4[i][j]);
		}
	}
	for(int r1 = 1;r1 < n;r1++){
		for(int c1 = 1;c1 < m;c1++){
			int r2 = p3[r1][c1+1];
			int c2 = (1 <= r1+1 and r1+1 <= r2-1 and r2-1 <= n ? seg1[c1].query(1, r1+1, r2-1, 1, n) : -1);
			check(r1, c1, r2, c2);
			c2 = p1[r1+1][c1];
			r2 = (1 <= c1+1 and c1+1 <= c2-1 and c2-1 <= m ? seg3[r1].query(1, c1+1, c2-1, 1, m) : -1);
			check(r1, c1, r2, c2);
		}
	}
	for(int r1 = 1;r1 < n;r1++){
		for(int c2 = m;c2 > 1;c2--){
			int c1 = p2[r1+1][c2];
			int r2 = (1 <= c1+1 and c1+1 <= c2-1 and c2-1 <= m ? seg3[r1].query(1, c1+1, c2-1, 1, m) : -1);
			check(r1, c1, r2, c2);
			r2 = p3[r1][c2-1];
			c1 = (1 <= r1+1 and r1+1 <= r2-1 and r2-1 <= n ? seg2[c2].query(1, r1+1, r2-1, 1, n) : -1);
			check(r1, c1, r2, c2);
		}
	}
	for(int r2 = n;r2 > 1;r2--){
		for(int c1 = 1;c1 < m;c1++){
			int r1 = p4[r2][c1+1];
			int c2 = (1 <= r1+1 and r1+1 <= r2-1 and r2-1 <= n ? seg1[c1].query(1, r1+1, r2-1, 1, n) : -1);
			check(r1, c1, r2, c2);
			c2 = p1[r2-1][c1];
			r1 = (1 <= c1+1 and c1+1 <= c2-1 and c2-1 <= m ? seg4[r2].query(1, c1+1, c2-1, 1, m) : -1);
			check(r1, c1, r2, c2);
			/*
			int c2 = p1[r2-1][c1];
			int r1 = p4[r2][c1+1];
			check(r1, c1, r2, c2);
			*/
		}
	}
	for(int r2 = n;r2 > 1;r2--){
		for(int c2 = m;c2 > 1;c2--){
			int c1 = p2[r2-1][c2];
			int r1 = (1 <= c1+1 and c1+1 <= c2-1 and c2-1 <= m ? seg4[r2].query(1, c1+1, c2-1, 1, m) : -1);
			check(r1, c1, r2, c2);
			r1 = p4[r2][c2-1];
			c1 = (1 <= r1+1 and r1+1 <= r2-1 and r2-1 <= n ? seg2[c2].query(1, r1+1, r2-1, 1, n) : -1);
			check(r1, c1, r2, c2);
			/*
			int c1 = p2[r2-1][c2];
			int r1 = p4[r2][c2-1];
			check(r1, c1, r2, c2);
			*/
		}
	}
	return s.size();
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 604 KB Output is correct
2 Correct 1 ms 1628 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1372 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 1 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1628 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 1372 KB Output is correct
20 Correct 1 ms 1372 KB Output is correct
21 Correct 0 ms 604 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 604 KB Output is correct
2 Correct 1 ms 1628 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1372 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 1 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1628 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 1372 KB Output is correct
20 Correct 1 ms 1372 KB Output is correct
21 Correct 0 ms 604 KB Output is correct
22 Correct 6 ms 4188 KB Output is correct
23 Correct 7 ms 4160 KB Output is correct
24 Correct 6 ms 4188 KB Output is correct
25 Correct 4 ms 3760 KB Output is correct
26 Correct 5 ms 3932 KB Output is correct
27 Correct 5 ms 3972 KB Output is correct
28 Correct 5 ms 3932 KB Output is correct
29 Correct 3 ms 3164 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 604 KB Output is correct
2 Correct 1 ms 1628 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1372 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 1 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1628 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 6 ms 4188 KB Output is correct
18 Correct 7 ms 4160 KB Output is correct
19 Correct 6 ms 4188 KB Output is correct
20 Correct 4 ms 3760 KB Output is correct
21 Correct 5 ms 3932 KB Output is correct
22 Correct 5 ms 3972 KB Output is correct
23 Correct 5 ms 3932 KB Output is correct
24 Correct 3 ms 3164 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 1372 KB Output is correct
28 Correct 1 ms 1372 KB Output is correct
29 Correct 0 ms 604 KB Output is correct
30 Correct 48 ms 12628 KB Output is correct
31 Correct 41 ms 12624 KB Output is correct
32 Correct 41 ms 12852 KB Output is correct
33 Correct 22 ms 10584 KB Output is correct
34 Correct 32 ms 11100 KB Output is correct
35 Correct 32 ms 11172 KB Output is correct
36 Correct 31 ms 11092 KB Output is correct
37 Correct 32 ms 10968 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 604 KB Output is correct
2 Correct 1 ms 1628 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1372 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 1 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1628 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 6 ms 4188 KB Output is correct
18 Correct 7 ms 4160 KB Output is correct
19 Correct 6 ms 4188 KB Output is correct
20 Correct 4 ms 3760 KB Output is correct
21 Correct 5 ms 3932 KB Output is correct
22 Correct 5 ms 3972 KB Output is correct
23 Correct 5 ms 3932 KB Output is correct
24 Correct 3 ms 3164 KB Output is correct
25 Correct 48 ms 12628 KB Output is correct
26 Correct 41 ms 12624 KB Output is correct
27 Correct 41 ms 12852 KB Output is correct
28 Correct 22 ms 10584 KB Output is correct
29 Correct 32 ms 11100 KB Output is correct
30 Correct 32 ms 11172 KB Output is correct
31 Correct 31 ms 11092 KB Output is correct
32 Correct 32 ms 10968 KB Output is correct
33 Correct 1 ms 344 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 1 ms 1372 KB Output is correct
36 Correct 1 ms 1372 KB Output is correct
37 Correct 0 ms 604 KB Output is correct
38 Correct 211 ms 61632 KB Output is correct
39 Correct 212 ms 61712 KB Output is correct
40 Correct 210 ms 61600 KB Output is correct
41 Correct 222 ms 61520 KB Output is correct
42 Correct 676 ms 91984 KB Output is correct
43 Correct 644 ms 92040 KB Output is correct
44 Correct 647 ms 92124 KB Output is correct
45 Correct 590 ms 87088 KB Output is correct
46 Correct 276 ms 62800 KB Output is correct
47 Correct 339 ms 64848 KB Output is correct
48 Correct 498 ms 71992 KB Output is correct
49 Correct 502 ms 72152 KB Output is correct
50 Correct 242 ms 46060 KB Output is correct
51 Correct 238 ms 39248 KB Output is correct
52 Correct 444 ms 72016 KB Output is correct
53 Correct 472 ms 74140 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 21340 KB Output is correct
2 Correct 9 ms 18268 KB Output is correct
3 Correct 8 ms 21192 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 10 ms 21340 KB Output is correct
6 Correct 12 ms 21336 KB Output is correct
7 Correct 11 ms 21392 KB Output is correct
8 Correct 11 ms 21336 KB Output is correct
9 Correct 10 ms 21336 KB Output is correct
10 Correct 8 ms 20828 KB Output is correct
11 Correct 9 ms 21084 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 1372 KB Output is correct
4 Correct 1 ms 1372 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 1880 ms 275608 KB Output is correct
8 Correct 4267 ms 552672 KB Output is correct
9 Correct 4123 ms 554412 KB Output is correct
10 Correct 4043 ms 557592 KB Output is correct
11 Correct 765 ms 278948 KB Output is correct
12 Correct 1512 ms 527240 KB Output is correct
13 Correct 1615 ms 541780 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 604 KB Output is correct
2 Correct 1 ms 1628 KB Output is correct
3 Correct 1 ms 1628 KB Output is correct
4 Correct 1 ms 1628 KB Output is correct
5 Correct 1 ms 1372 KB Output is correct
6 Correct 1 ms 1628 KB Output is correct
7 Correct 1 ms 1372 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 1628 KB Output is correct
10 Correct 1 ms 1628 KB Output is correct
11 Correct 1 ms 1628 KB Output is correct
12 Correct 1 ms 1628 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 6 ms 4188 KB Output is correct
18 Correct 7 ms 4160 KB Output is correct
19 Correct 6 ms 4188 KB Output is correct
20 Correct 4 ms 3760 KB Output is correct
21 Correct 5 ms 3932 KB Output is correct
22 Correct 5 ms 3972 KB Output is correct
23 Correct 5 ms 3932 KB Output is correct
24 Correct 3 ms 3164 KB Output is correct
25 Correct 48 ms 12628 KB Output is correct
26 Correct 41 ms 12624 KB Output is correct
27 Correct 41 ms 12852 KB Output is correct
28 Correct 22 ms 10584 KB Output is correct
29 Correct 32 ms 11100 KB Output is correct
30 Correct 32 ms 11172 KB Output is correct
31 Correct 31 ms 11092 KB Output is correct
32 Correct 32 ms 10968 KB Output is correct
33 Correct 211 ms 61632 KB Output is correct
34 Correct 212 ms 61712 KB Output is correct
35 Correct 210 ms 61600 KB Output is correct
36 Correct 222 ms 61520 KB Output is correct
37 Correct 676 ms 91984 KB Output is correct
38 Correct 644 ms 92040 KB Output is correct
39 Correct 647 ms 92124 KB Output is correct
40 Correct 590 ms 87088 KB Output is correct
41 Correct 276 ms 62800 KB Output is correct
42 Correct 339 ms 64848 KB Output is correct
43 Correct 498 ms 71992 KB Output is correct
44 Correct 502 ms 72152 KB Output is correct
45 Correct 242 ms 46060 KB Output is correct
46 Correct 238 ms 39248 KB Output is correct
47 Correct 444 ms 72016 KB Output is correct
48 Correct 472 ms 74140 KB Output is correct
49 Correct 11 ms 21340 KB Output is correct
50 Correct 9 ms 18268 KB Output is correct
51 Correct 8 ms 21192 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 10 ms 21340 KB Output is correct
54 Correct 12 ms 21336 KB Output is correct
55 Correct 11 ms 21392 KB Output is correct
56 Correct 11 ms 21336 KB Output is correct
57 Correct 10 ms 21336 KB Output is correct
58 Correct 8 ms 20828 KB Output is correct
59 Correct 9 ms 21084 KB Output is correct
60 Correct 0 ms 604 KB Output is correct
61 Correct 1880 ms 275608 KB Output is correct
62 Correct 4267 ms 552672 KB Output is correct
63 Correct 4123 ms 554412 KB Output is correct
64 Correct 4043 ms 557592 KB Output is correct
65 Correct 765 ms 278948 KB Output is correct
66 Correct 1512 ms 527240 KB Output is correct
67 Correct 1615 ms 541780 KB Output is correct
68 Correct 1 ms 344 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Correct 1 ms 1372 KB Output is correct
71 Correct 1 ms 1372 KB Output is correct
72 Correct 0 ms 604 KB Output is correct
73 Correct 3207 ms 567988 KB Output is correct
74 Correct 3257 ms 567952 KB Output is correct
75 Correct 3207 ms 567888 KB Output is correct
76 Correct 3062 ms 567940 KB Output is correct
77 Execution timed out 5064 ms 774768 KB Time limit exceeded
78 Halted 0 ms 0 KB -